Home / 237.50-412

Finding the Third Proportional to 237.50 and 412

Calculator

Solution

The third proportional to 237.50 and 412 is: 714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.50 : 412 = 412 : x
  2. Step 2: Convert to fraction form
    237.50/412 = 412/x
  3. Step 3: Cross multiply
    237.50x = 412 × 412
  4. Step 4: Simplify right side
    237.50x = 169,744
  5. Step 5: Solve for x
    x = 169,744/237.50
  6. Step 6: Final answer
    x = 714.71

Related Problems

Find third proportional to 118.75 and 206
Half scale
Find third proportional to 475 and 824
Double scale
Find third proportional to 240 and 415
Similar ratio
Find third proportional to 356.25 and 618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.